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Finding the Third Proportional to 9,570 and 12,741

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Solution

The third proportional to 9,570 and 12,741 is: 16,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570 : 12,741 = 12,741 : x
  2. Step 2: Convert to fraction form
    9,570/12,741 = 12,741/x
  3. Step 3: Cross multiply
    9,570x = 12,741 × 12,741
  4. Step 4: Simplify right side
    9,570x = 162,333,081
  5. Step 5: Solve for x
    x = 162,333,081/9,570
  6. Step 6: Final answer
    x = 16,962.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.